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Yang, Yajun; Gordon, Sheldon P. – International Journal of Mathematical Education in Science and Technology, 2011
This article examines the question of finding the best quadratic function to approximate a given function on an interval. The prototypical function considered is f(x) = e[superscript x]. Two approaches are considered, one based on Taylor polynomial approximations at various points in the interval under consideration, the other based on the fact…
Descriptors: Intervals, Concept Formation, Mathematics Instruction, Mathematical Concepts

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